Question

which of the following is not true about the median of a trapezoid?

a. the median connects the midpoints of the legs of a trapezoid.
b. the length of the median is half the sum of the lengths of the bases.
c. the median connects the midpoints of the bases of a trapezoid.
d. the median is parallel to the bases of a trapezoid.

Explanation:

Analyze definition of trapezoid median

$$ \text{Median (Midsegment)} = \text{Segment connecting midpoints of the non-parallel sides (legs)} $$

Evaluate given statements

$$
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$$

Identify the false statement

$$ \text{Statement C is false.} $$

Answer:

• A. The median connects the midpoints of the legs of a trapezoid.
• B. The length of the median is half the sum of the lengths of the bases.
• C. The median connects the midpoints of the bases of a trapezoid. (Correct answer)
• D. The median is parallel to the bases of a trapezoid.